Not evaluated
Erdős problem #848: explicit bound and partial result on a variant problem according to the wiki (Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking)
The gist
According to the teorth/erdosproblems wiki, Gemini 3.1 Pro, GPT-5.2 Thinking and GPT-5.4 Thinking reportedly established for #848 an explicit bound and obtained a partial result on a variant (dated by the wiki from March 5 to 23, 2026).
DiscoverIA status on October 12, 2026: not evaluated, meaning no third-party evaluation found.
AI draft, not reviewedWhat has not been reviewed?
Text written by an AI (DiscoverIA pipeline), on . The status and its sources come from the registry; only the explanatory text has not been reviewed. A reported error is corrected, then the text is reviewed.
Cite this entry
A single status snapshot since Oct 12, 2026: a citation always points to a dated snapshot.
Cite snapshot 1, Oct 12, 2026
APA citation with the dated link
BibTeX @misc, key discoveria-erdos-848-gemini-3-1-pro-gpt-5-2-thinking-gpt-5-4-1c-r1
@misc{discoveria-erdos-848-gemini-3-1-pro-gpt-5-2-thinking-gpt-5-4-1c-r1,
author = {{DiscoverIA}},
title = {Erdős problem #848: explicit bound and partial result on a variant problem according to the wiki (Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking)},
howpublished = {DiscoverIA registry, entry erdos-848-gemini-3-1-pro-gpt-5-2-thinking-gpt-5-4-1c},
note = {Status “Not evaluated”, snapshot 1, recorded on October 12, 2026. New result},
year = {2026},
url = {https://discoveria.ai/entry/erdos-848-gemini-3-1-pro-gpt-5-2-thinking-gpt-5-4-1c#releve-1},
urldate = {2026-10-12}
}Dated link opens this snapshot in the history
To understand ≈ 30 s reading time, estimated
What it changes
Problem #848 is filed under number theory (the study of the properties of integers); an explicit bound is a bound written out with its constants. The wiki files these results among those building on literature known beforehand and not rediscovered afterwards, Sawhney (2025).
What remains unclear
The wiki attaches two flags to this line, one for full resolution and one for partial progress, and the sources read do not say which applies to which part of the label. No independent verification is on record, and a check published after the wiki's freeze would not appear there. Problem #848 is also cited in the grouped entry “erdos-wiki-incorrect-claims”, with no exact match to this one; an overlap remains possible.
For experts
Sources, method, key facts, status history, report an error
Status
Not evaluated
Recorded on · github.com · wiki
Step 1 of 4 on the scale: not evaluated. Next step: under review.
- Announced
- Wiki frozen
- Recordednot evaluated
- nextTo follow
What this status means
Source reading : Source read word for word (level 3 of 3)
The result is declared neither right nor wrong.
To move to “Under review”: a public review under way. To “Peer reviewed”: a journal publication or a review by named experts.
Dated archive: status recorded on the wiki frozen on Jun 30, 2026
Sources
- Main sourcegithub.com · wikipage read word for word · consulted on Oct 12, 2026
- Reference listerdosproblems.comlink only, reading not recorded
- Corroborationterrytao.wordpress.compage read word for word · consulted on Oct 17, 2026 ·
We have created a github repository to coordinate this process
- Repositorygithub.com · CONTRIBUTING.mdpage read word for word · consulted on Oct 17, 2026 ·
this status is an unofficial crowdsourced classification of the problem
Method
Source: the “AI contributions to Erdős problems” wiki of the teorth/erdosproblems repository (a repository presented by Terence Tao in his blog post of August 31, 2025); frozen on June 30, 2026 (commit c8ad430, “freeze”) and read on October 12, 2026 in the git repository. Category 1(c), “AI building on literature” (literature known beforehand and not rediscovered afterwards; no significant human involvement). Humans named by the wiki: none; AI systems: Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking. Dates given by the wiki: “5-23 Mar, 2026”. Exact text: “Derived explicit bound; Partial result of variant problem”; flag (“résolution complète (légende du wiki) ; 🟡 progrès partiel”, according to the wiki's legend). Prior literature cited by the wiki: Sawhney (2025). Status of the problem in the teorth/erdosproblems community database (data/problems.yaml, unofficial classification, snapshot of October 12, 2026 with no commit identified, current state, not that of June 2026): open, both falsifiable by a finite counterexample and provable by a finite example, but not yet solved (informal_status=decidable); no formalised solution known (formal_status=unformalized). This status concerns the problem, not this contribution. Problem page not read by DiscoverIA: https://www.erdosproblems.com/848. The DiscoverIA registry also holds an entry that groups several problems, this one included; the two entries may overlap. DiscoverIA status: not evaluated (only the wiki's classification exists). Recorded on October 12, 2026.
Limits
DiscoverIA has not checked this contribution itself.
Key facts
- Claimed by
- Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking, according to the AI-Erdős wiki
announced on Mar 5, 2026 - Nature
- new result
- Field
- Mathematics (Erdős problem #848 (number theory))
- Wiki category
- AI building on literature (IA s'appuyant sur une littérature connue avant et non redécouverte après ; implication humaine non significative)
- Wiki verdict
- « Derived explicit bound; Partial result of variant problem » : 🟢 résolution complète (légende du wiki) ; 🟡 progrès partiel (légende du wiki)
- Checked by
- no verifier identified
- Sources
- 4 : 3 read word for word, 1 link only
- This entry
- AI draft, not reviewed
Status history
Only one observation so far.
An observation is added; none is ever erased.
In the same set
AI contributions to Erdős problems (wiki by T. Tao, frozen on June 30, 2026) · entry 335 of 521, by problem number
- Not evaluated : Erdős problem #847: full solution found in the literature according to the wiki (GPT-5.2 Pro)
- Not evaluated : Erdős problem #848: formalisation by Aristotle, Claude and GPT-5.2 (proof: Sawhney (2025))
- Withdrawn : Erdős problem #848: proof judged incorrect by the wiki (Claude Opus 4.6, GPT-5.4)
- Not evaluated : Erdős problem #848: explicit bound and partial result on a variant problem according to the wiki (Gemini 3.1 Pro, GPT-5.2 Thinking, GPT-5.4 Thinking)
- Not evaluated : Erdős problem #848: full solution according to the wiki (GPT-5)
- Contested : Erdős problem #851: confusion with another problem noted by the wiki, partial results found in the literature (ChatGPT Deep research, Claude, Gemini Deep Research)
- Not evaluated : Erdős problem #851: full solution building upon Romanoff (1934) according to the wiki (GPT-5.2 Pro)
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